Second-order discontinuous Galerkin flood model: Comparison with industry-standard finite volume models

نویسندگان

چکیده

Finite volume (FV) numerical solvers of the two-dimensional shallow water equations are core to industry-standard flood models. The second-order Discontinuous Galerkin (DG2) alternative, although a viable way forward improve current FV-based models, is yet under-studied and rarely used support modelling applications. This paper systematically explores compares predictive properties robust DG2 model those prominent industrial To identify simplest most efficient configuration suitable for inundation modelling, two variants – with without local slope limiting considered. conservation compared first-order FV (FV1) (FV2) counterparts. then tested over five realistic flooding scenarios, recommended by UK Environment Agency validate 2D capabilities, while comparing their performance against that four commercial models (i.e. TUFLOW-FV1, TUFLOW-FV2, TUFLOW-HPC Infoworks ICM). Results reveal variant (DG2-NL) capable simulate shockless flows featured in wide range DG2-NL shows closer predictions outputs at twice-coarser spatial resolution, can run twice faster produce more informative hydrograph small-scale transients long-range simulations, even when sampling far away from source.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Discontinuous Galerkin finite element methods for second order hyperbolic problems

In this paper, we prove a priori and a posteriori error estimates for a finite element method for linear second order hyperbolic problems (linear wave equations) based on using spacetime finite element discretizations (for displacements and displacement velocities) with (bilinear) basis functions which are continuous in space and discontinuous in time. We refer to methods of this form as discon...

متن کامل

Discontinuous Galerkin Finite Volume Element Methods for Second-Order Linear Elliptic Problems

In this article, a one parameter family of discontinuous Galerkin finite volume element methods for approximating the solution of a class of second-order linear elliptic problems is discussed. Optimal error estimates in L2 and broken H 1norms are derived. Numerical results confirm the theoretical order of convergences. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 25: 140...

متن کامل

High Order Finite Difference and Finite Volume WENO Schemes and Discontinuous Galerkin Methods for CFD

In recent years high order numerical methods have been widely used in computational uid dynamics (CFD), to e ectively resolve complex ow features using meshes which are reasonable for today's computers. In this paper we review and compare three types of high order methods being used in CFD, namely the weighted essentially non-oscillatory (WENO) nite di erence methods, the WENO nite volume metho...

متن کامل

Low Order Discontinuous Galerkin Methods for Second Order Elliptic Problems

Abstract. We consider DG-methods for 2nd order scalar elliptic problems using piecewise affine approximation in two or three space dimensions. We prove that both the symmetric and the nonsymmetric version of the DG-method are well-posed also without penalization of the interelement solution jumps provided boundary conditions are imposed weakly. Optimal convergence is proved for sufficiently reg...

متن کامل

Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems

We develop the convergence analysis of discontinuous Galerkin finite element approximations to second-order quasilinear elliptic and hyperbolic systems of partial differential equations of the form, respectively, − ∑d α=1 ∂xαSiα(∇u(x)) = fi(x), i = 1, . . . , d, and ∂2 t ui− ∑d α=1 ∂xαSiα(∇u(t, x)) = fi(t, x), i = 1, . . . , d, with ∂xα = ∂/∂xα, in a bounded spatial domain in R d, subject to mi...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Hydrology

سال: 2021

ISSN: ['2589-9155']

DOI: https://doi.org/10.1016/j.jhydrol.2020.125924